document.write( "Question 1011629: The sum of the digits of a two digit number is 9. If the digits are reversed, the resulting number is 45 more than the original. What is the number? \n" ); document.write( "

Algebra.Com's Answer #627358 by josgarithmetic(39617) $\"\"$ $\"About$

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The number is $\"10t%2Bu\"$ and the description directly translated into a system is
\n" ); document.write( " $\"system%28t%2Bu=9%2C%2810u%2Bt%29-%2810t%2Bu%29=45%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Simplifying the second equation relating the reversal,
\n" ); document.write( "10u-u+t-10t=45
\n" ); document.write( "9u-9t=45
\n" ); document.write( "u-t=5\r
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\n" ); document.write( "\n" ); document.write( "System can be restated $\"system%28u%2Bt=9%2Cu-t=5%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "72-----small mental mis-step when I solved the simple two-variable system.
\n" ); document.write( "Correct result IS 27. \n" ); document.write( "

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